417373364304 has 400 divisors, whose sum is σ = 1354602831120. Its totient is φ = 123181793280.

The previous prime is 417373364263. The next prime is 417373364311. The reversal of 417373364304 is 403463373714.

It is a happy number.

417373364304 is a `hidden beast` number, since 4 + 1 + 7 + 3 + 7 + 336 + 4 + 304 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12174915600 + 405198448704 = 110340^2 + 636552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 417373364304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76706224 + ... + 76711664.

Almost surely, 2^417373364304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417373364304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677301415560).

417373364304 is an abundant number, since it is smaller than the sum of its proper divisors (937229466816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417373364304 is a wasteful number, since it uses less digits than its factorization.

417373364304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 417373364304 in words is "four hundred seventeen billion, three hundred seventy-three million, three hundred sixty-four thousand, three hundred four".